11102120040 has 128 divisors (see below), whose sum is σ = 37107486720. Its totient is φ = 2634144000.

The previous prime is 11102120023. The next prime is 11102120059. The reversal of 11102120040 is 4002120111.

It is a happy number.

11102120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11102119998 and 11102120025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27436 + ... + 151515.

It is an arithmetic number, because the mean of its divisors is an integer number (289902240).

Almost surely, 2^11102120040 is an apocalyptic number.

11102120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553743360).

11102120040 is an abundant number, since it is smaller than the sum of its proper divisors (26005366680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11102120040 is a wasteful number, since it uses less digits than its factorization.

11102120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179023 (or 179019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102120040 its reverse (4002120111), we get a palindrome (15104240151).

The spelling of 11102120040 in words is "eleven billion, one hundred two million, one hundred twenty thousand, forty".